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On the global approximate controllability in small time of semiclassical 1-D Schrodinger equations between two states with positive quantum densities 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 345, 页码: 1-44
Authors:  Coron, Jean-Michel;  Xiang, Shengquan;  Zhang, Ping
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Semiclassical Schr?dinger equation  Quantum density  Quantum momentum  Controllability  Semiclassical limit  
Stability of a coefficient inverse problem for the discrete Schrodinger equation and a convergence result 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 卷号: 518, 期号: 1, 页码: 25
Authors:  Zhao, Zhongliu;  Zhang, Wensheng
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Inverse problem  Semi-discrete Schr?dinger equation  Discrete Carleman estimate  Convergence  Stability  
Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 6, 页码: 977-998
Authors:  Guo, Boling;  Huo, Zhaohui
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Well-posedness  Derivative Schrodinger equation in higher dimension  Short-time X-s,X-b  Large initial data  
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations 期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
Authors:  Song, Jin;  Zhou, Zijian;  Dong, Huanhe;  Yan, Zhenya
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Generalized nonlinear Schr?dinger equation  PT-symmetric potentials  Stable solitons and peakons  Quantum information entropy  Soliton interactions and adiabatic  excitations  
Quasilinear Schrodinger equations with bounded coefficients 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 10, 页码: 4939-4985
Authors:  Jing, Yongtao;  Liu, Haidong;  Zhang, Zhitao
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quasilinear Schrodinger equation  variational method  multiple solutions  sign-changing solutions  
Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 132, 页码: 9
Authors:  Zhou, Zijian;  Song, Jin;  Weng, Weifang;  Yan, Zhenya
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Logarithmic nonlinear Schrodinger  equation  PT-symmetric potentials  Stable solitons  Interactions  Excitations  
ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
Authors:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
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XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Chen, Shuyan;  Zhou, Zijian;  Yan, Zhenya
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Multi-componentHirotaequations  mixedbackgrounds  modifiedDarbouxtransform  semi-rational RWs and W-shaped solitons  asymptotic analysis  
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
Authors:  Song, Jin;  Zhou, Zijian;  Weng, Weifang;  Yan, Zhenya
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Generalized nonlinear Schrodinger  equation  Stable peakon solution  Interactions  Adiabatic excitations  PT-symmetric 8(x)-csch potential  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
Authors:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
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Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula